Reflecting device



March 8, 1932. 1 Q STlMSON 1,848,675

REFLECTING DEVIQE 0iginal Filed Feb. 5, '1925 mmwmm mmm m ewig# f Patented hier. i932 une srA'ras Y teams waaraan c. smsen, or UNIVERSITY om, m8801131 'nm-norme nnvrcn riginaiappiication med February 5, 1925, Serial No. 7,164. Divided and this application led March 3,

` v1926. -Serial No. 92,024. i.

This invention relates to reectors and more particularly to reectin devices adapted for use as signals and emp oying the principles and characteristic features of central triple reiiectors. lThis ap lication is a division of application Serial umher 7,164, led February 5, i925, now Patent #1,591,572, July 6 1926.

if three reecting surfaces are arranged to 10 intersect ata common point with the reflecting surfaces at right angles to each other so as to form, in eect, the corner of a. cube, the diagonal of the cube being designated the axis of the redector, then abeam incident on such a device from any one of a wide variety of inclinations to the axis is reflected from surface to surfaceabout the axis or center of the device and back along the incident beam; it may, therefore, be called a central triple 29 reiiector. Where the redecting surfaces form the three square sides of a cube, then the aperturev is wholly active for the reflection of beams normal thereto. The triple reiiector heretofore practically employed, bwhether as a separate unit or as the reiectors of a multitruncated perpendicular to the plane iront face of the redector; in such a truncated structure, however, the reflecting surfaces of the several units are not similarly oriented so that the reector is limited in its applications; moreover, such a truncated structure presents diiiiculties in its manufacture. A centrai triple reflector comprising the three square faces oi' a cube cannot exist with a fourth plane surface bounding the reflector aperture, and enclosing or completing the structure as is true with the central triple reiiector having a triangular aperture.

One of the objects of this invention is to provide a reector of the character described having new, improved and valuable qualities and functions.

Another object is to provide such a reiiector 1n which adjacent reiiecting surfaces, and more particularl those which merge, are similarly oriented Another object is to rovide a reflector of the character describe in which the maximum range of inclination of corresponding units is the same throughout the reflector while the unit apertures are wholly effective for reiiection of normal beams.

Another object is to provide a reflector of the character described 1n which the units are arranged in continuous merging series. with the units similarly oriented so as to have the same maximum range of inclination.

Further objects will appear from the detailed description taken in connection with the accompanyin drawings, in which:

Figure 1 is a ace view showing a reiector embodying this invention;

Flgure 2 is a rear perspective View partly in section.

Figure 3 is a detail section Fi re 2.

igure 4 is a diagram;

Figure 5 is an optical diagram; and

Figure 6 is a section showing another embodiment.

Referring to Figures 1 and 2 which are views ci a ressed glass multiple unit reector embo yingthis invention, it will he seen that this reflecting structure consists of a series of cube like formations which are not the diagonal corners of cubes, but exist in an integral plate, with each reiiector unit consisting of the three full sides of a cube, The redector thus comprises a series ot central triple reflecting units arranged to forni merging reflecting areas.

It is a quality o1? central triple reflectors as described herein that incident beams lying in a plane which bisects one of the dihedral angles of the reflector may be inclined from the axis at a greater angle in one direction than in the other before return refiection is lost.` In the case of hollow central triple reilectors the maximum range of inclination of incident beams is toward the dihedral angle,

on line 3 3,

and the smaller rangeof inclination is toward i the reiiecting surface opposite the dihedral tallic re ecting medium, an

an le. Inthe case of solid transparentn centr triple reflectors of isotropic material coated wit a. metallic reflecting medium, the maximum rang: of inclination is again toward the dihe al angle, both the maximum range and the smaller range of inclination being greater than in the hollow type on account= of refraction.

But in the case of solid transparent central triple reflectors of isotropic material Whose re ectin surfaces are not coated with a meadditional factor not otherwise limiting the functioninglof the central triple reflector is introduced; t is factor bein the critical angle beyond which total re ection does not occur. Because of this factor the 'smaller range of inclination I is toward the dihedral angle and the maximum range is towards the reflecting surface opposite the dihedral angle instead of toward the dihedral angle as in the first two cases mentioned.`

In order to have the largest possible functioning reflecting area where the source of light to be reflected is at an angle from the axis greater than the smaller range of inclination, it is necessary to have the triple reflecting units so arranged that the maximum range of inclination for all the units or all the units in a series lies towards the same side of the reflector.

This invention provides a reflector havinvr such qualities. Figure 4 is a plan view, with the plane face in the plane of the paper, 0f five of the triple reiiecting units of the reflector, Figure 1, which is constructed of an isotropic transparent medium such as glass, whose reflecting surfaces are uncoated. The reflecting surfaces A of the three unit reflectors which lie in a line perpendicular to the horizontal margin of the paper, lie in the same -Figu plane; and the corresponding surfaces A of the reflecting units in the adjacent parallel line lie in a-plane parallel to the plane of surfaces A. It follows that all of the unit reflectors making up a complete reflector have the same orientation so that the maximum range of inclination of all units lie towards the same side. This is further illustrated in re 5. The surface A lies in a plane perpendicular to thepaperand the line B C is the line of intersection of the surfaces of the dihedral angle formed by B and C and lies in the plane of the paper. -The surface A forms an angle of about 35 degrees with the axis M N and fixes the maximum range of inclination.` This maximum range of inclination when resolved for glass having an index of refraction of 1.51 is about 60 degrees from the perpendicular, indicated by the angle M N O. The smaller range of inclination lies in the same plane as the maximum range upon the other side of the axis M N. This is indicated by the dotted line N P when resolved for refraction and is fixed by the critical angle for the isotropic medium employed. For glass with an index of 1.51

tion (the angle M N O) is to the left of the axis of each vof the respective units. The practical importance' of this is illustrated by assuming that half of the units comprising the reflector had surfaces with the opposite orientation, i. e. with the surface A locatedto the right instead of to the left of the axis M N.- These units would then have the limiting inclination M N P to the left of the axis. Light originating from points within the angle O N P would then be reflected back toward the source from only half of the reflector units comprising t e complete reflector.

As the three reflecting surfaces A, B, C,of a reflecting unit have the same relation to 'their respective opposite dihedral angles it follows that there are three positions which may be given the reflector with respect to a li ht source so that the maximum range of inclination is secured. These directions are indicated in Figure 4 by the arrows. For rays of angular incidence to the axis from other than these three directions the limiting inclination for return reflection lies between the maximum range and the smaller range of inclination.

The reflector thus comprises a multiplicity of reflecting units, each of which is a central triple reflector; formed by the three adjacent square faces of a'cube, and it is a quality of such a central triple reflector that all of its aperture is effective for the triple reflection of normal beams. It follows ,that all of the aperture of the reflector is effective for the reflection of normal beams and its efficiency is correspondingly much greater than that of a reflector whose individual central triple reflecting units are not true central triple recctors but Whose reflecting surfaces are isoscelcs triangles which are the diagonal corners of a cube, and the a erture of each of which is only two-thirds e ple reflection of normal beams.

While a solid transparent reflector as described is particularly advantageous, it will be understood that it may be of the hollow type as shown in Figure 6, formed by depositing a coating 67 of silver on a matrix 65 (which may be of the form shown in Figures l and 2) and providing a heavy backing 62 of a metal such as copper and then removing the matrix 65. The appearance of 4such a hollow reflector can be readily understood by considering the surfaces of Figure 2 as silver reflecting surfaces. As heretofore described, itl isto be noted that the maximum range of inclination is on the opposite side of the exis, for the seme orientation, from the maximum range of the uncoaed solid reeccor. With this dierence the advantages accruing from heving. sii the units of che structure similarly orienised ere common so both the soiid, Whether siivered or unsilvered, end siivered hoiiow reccor.

The nnsiivereci sciiti-triple reector, eiser the maximum ronge o inclination is rescheci, end the hollow or siivered solid-triple reec ecrafter either the maximum or srnoiier ronge is reociieei, is an effective reector for the single or double return reieccion of seems which origineive from certain points of snguiar inciiience; this sin le or cionieg4 depentiing upon 7the orientetlon of che surfaces, reiiecion sking piace et the iimi; of tri ie reieciiion, is o? preccicei vaine in extending che mesinum range beyond the iimis ciescrioexi efoove in etaii. This is of especiei veine in che reiiecor as shown in which sii of iie unie reeccrs have their sureces simiieriy oriented, and. eli remain e'ective for the return reecion of beams originating from e source iocegtei at the maximum ronge of iieunsiivereo soiid; piste reiiecaor, described I pericuisriy in connection with Figures 4;

en 5. i

The reiecor as has eireedy been ineniaione, iles nosh inserior and exterior soiid angles which ere rihedrei and; complimenesry The interior engies 63 are, therefore, pointed depressions (in she case of e, soiid prismsiic transparent reector which .may

be considered ns Wedging or pushing forwerfi oweroi che front fece of `he reecfaor 6e, but wiciening or recessing sucientiy in the reverse direction to form o mess of materiel aioou ehe entire series of surfaces which serves to noid the plete together even though the points ente'n prccicaiiy up to ne face 64. By so consructing che piste the moorial empoyec'i is reduced' 15o the minimum necessary so compiete the reeccing structure itselfs chere being no excess materiel such es occurs in ociier reiecsors. Besides resoiting in economy of meieriei this maken is possib-ie so reuce the amount of shrinkage in pressing the piste proporionei to che r'euction in the moss anci, therefore? to more eccnrsceiy conroi che shrinkage in pressin sire reec-:or piene. A. fnrsher eventege 1s e reduction in loss of iight through absorption because of the shorter distance `he ligne es io 'crevei through che isotropic medium of 'the reiicccor. Y

En che rei'iecor described, the reeciing surfaces of each unit are square, while corresponding reiiecting surfaces of adjacent units iie in che seme or psrsiiei planes and merge in s common piane. in this reiecsor nire exterior end inierior trihedrai angics are congruent end the spices of the interior angies are directed towards the aperture and are end can be in ciose proximity to the reecror fece of a. solid prismatic tiransparent refiector. The edjecenc reflecting surfaces, end more porticueri those which merge, ere similarly oriente The reecor embodying chie invention5 therefore, com rises o series of triple reectors errengec'i 1n contiguous relation to form *aogeciier merging' ective reflecting areas. nstesci of pinning e, series of such reecting omits consigoons relation Without reference to he reis-tion ocorresponding surfaces of ejecenior even non-adjacent unies, iiey ere piaceri and assembled sc as to form togesher merging scrive reiecting crees. in accorainnce che illustrative embodimen: of h inveniion, the units cre so orrenge ches corresponciing surfaces of ecij scent unite are in the piene. rJihis wiii be seen from en inspecion of Figure 1 in which, for instance, che corresponding surfaces 8 are in iie same piene; Wiiiie che pairs of sur faces, A2Q-352, 6 50, and; (iO-70, ecc., are arrange@ in pairs et right :ingles io the snr faces 8 wiii she surfaces of each pair reiefiveiy es right angles.

The nino-ve scission holds true genersiiy for ehe eneire reiec'or. It will be notefris however; she* ziie margin of the reiiectcr there is coniinuons piene surface i, which corresponfs generniy io the surfaces 8, enceps that che snri'ece i is coninuous eno; en sends iseycnci che pairs o' surfaces 2 3, mi2 (ii-'Z7 This reiecor inciuciing ne sur- 'fece i is orine by the mold es escribcei' in lxTc. ie (of the eppiicetion of which this eppiicetion is e division) in that the outer marginei moiri elemens cooperate 'with adjacent meid elements to form she matrices of compiere reector units up ic the ege of iie reector, vwhich is, in this ceses eged by an 11p-standing glass coilsr i0.

This is accomplished by giving che incid eiements of marginal row only one enguier- 1y cui fece so es so form the continuous surfece 19 viniie iie incid; elements of the next row ere eeen given e piuraiity of enguieriycui: feces zo form he reecting sureces, 2 3? -s @-21 etc;l v

. The reiiecaor es shown in Figure i, therefore, comprises e series of central triple reeczor unies, having e plane surface which forms one of eine reecting unis surfaces of each unicof che series, and these units vhave `n1erging reec'ing creas. The correspond 'ing reecting surfaces of achncent uniss are formed ny' e pinnesnrface, and che opposie cri-operating surfaces of these unis merge in o iineeriy coninnousseries. The reecing surfaces are arranged in adjacent pairs, ai. right ongies to each other, with e singie reiiecing surface, perpendicular to the firs?J surfaces. The reiector, therefore, comprises two reeciors paced at right angles to each other and with heir reiiecting surfaces facing one enoiher one of the reectors having two plane surfaces, placed at right angles to one another.

As full described in application Ser. No. 650,402, iyl'ed Jul 9, 1923 (now Patent No. 1,671,086, issued ay 22, 1928), the surfaces of a central triple reflector are distorted or deviated from those of an optically true, congruent trihedral an le'in such amanner as to secure spread re ection. This is referably accomplished by distorting portions of one or more of the surfaces at varyinr angles to the axis, or by otherwise varying the same, so that one or more surfaces of the central triple reflector are not optically plane. Thls may also be accomplished, as stated in said `patent and in Patent No. 1,7 43,834, January roviding a heterogeneous refracting med1um in front ofthe reiecting surfaces. This feature is also employed in the reflecting device embodying this invention in order to direct a defimte spreadin beam of substantially uniform intensity bac towards and visible to an observer located a substantiall distance outside of a line connecting the reflector with the light source.

In accordance with an embodiment of thls invention as shown in Figures 1` and 2, a prismatic central triple reector is shown as constructed of pressed glass, which is cheaply and easil made by the ordinary process of pressed g ass manufacture. The right angular relationship .of the reiiecting surfaces is only approximately maintained, but the surfaces are not optically accurate in the accepted sense of the term, but are purposely only an approximation thereof; it is essential that lthe surfaces be so formed in order to carry out the purpose of this invention. The

mold or matrix of the reliector is, therefore,

constructed with the angles approximately accurate, that is, within about one degree of ninety degrees (90?), but not within a second or less, as is required in an optical device if a defined undistorted image 1s to be ciently from a true plane to coo rate to' secured. The surfaces of the mold are made as plane as is conveniently possible and are 'ven a polish; nevertheless there are minute irregularities in the resulting glass surfaces that cause symmetrical spreading of the light as it is successively reflected upon the three surfaces; the irregularities forming a large. number of minute reflecting surfaces of different angles, these surfaces `varying suigether in the multiple reflection o the three surfaces so as to spread the light to a degree,

but not varying suiciently from ninety degrecs (90) to scatter the light out of a dcned beam or field.

A reiector suitable for most purposes is secured by giving the mold surfaces the highest possible polish, the grain of the mold flector.

metal and the eect of shrinkage of the glass in the pressing operation rovidin a surface, the-reec'tion from which has a ut the proper amount of spread. As will, however, be obvious, the spread of the beam and the uniformit thereof can be controlled by the degree o polish, and by controllin the shrinkage in the ressing operation. accordance with this invention, therefore, the lreiiector is purposely formed without reference to optical accuracy, in that the angular relation of one or more of the surfaces may deviate from those of an optically true, congruent trihedral angle, but the inaccuracy of the surfaces themselves, depending as it does upon the factors enumerated, will compensatefor the inaccuracy of the angular relations of the surfaces, so that the portions of the surfaces are so formed as to compensate for the angular deviation of the surfaces.

A reflector made as-'d'scribed above results in a structure with'three total internal refleeting surfaces whichtriply reect light impinging upon 4the front surface of the re- Because of the minute variations distributed over the entire series of surfaces, which deviate in various degrees from optical perfection, but which do not deviate suffciently from an optically true, congruent trihedral angle, to causecomplete dissipation of the light, the impinging beam is triply reflected in the form of a spreading beam back towards the source, the spreading being such that the reflected light fills a conical ield with the reflector as the apex and with the source of light lyin in the axis of the cone. It will be particular y noted that the reflected beam is substantially uniform and is not in the form of a series of pencils of reflected light with intervening dark spaces.

As enumerated in application Serial No. 650,402'referred to, this invention is particularly applicable to signs illuminated from an extraneous sourcevof light, specific uses of such signs being road signs, danger signals at railroad grade crossin .and at curves, and tail lights for automobi es, all of which secure their illumination from extraneous sources, such as automobile or other head lights. This invention-,is VVparticularly applicable for such uses; for, where for instance a road sign or signal is illuminated by an automobile head light, it is highl desirable that the orientation of the sur aces of the various units be the same and that these units have the same Amaximum range of inclination. This is accomplished in the reflector embodying this invention by the fact that the reflecting surfaces of contiguous units lie in the same lane and that the cooperating surfaces of) these units merge' in a linearly continuous series while the unit #asesora ter or symbol, which has vertical and vhorizontal strokes. By the construction and arran meutl of the units' as heretofore descri d, .these letters. are sharply outlined;

' 5 for these units form reflectors arranged in ffl@ parallel rovvs with the reectors in arovv opposing and relatively at right angles, and with one reector in each row having pairs of reecting surfaces arranged in a continuous merging series therealong and cooperating with a continuous series of reecting surfaces on the opposite reector., Accordingly, not only are corresponding surfaces of adjacent units similarly oriented, Abut the unit apertures are formed by the intersection of redecting surfaces, the intersections of the surfaces of each unit of row being Valong lines parallel to the intersection of the same surfaces with surfaces of adjacent units of a row and at right angles to the direction of a roW. rlfbe complete boundary of an aperture of a unit is formed by the intersection of its redecting surfaces with reecting surfaces of the surrounding units; accordingly, not only is each aperture completely efectivo for the reection of normal beams, but these apertures merge so as to formy a redecting area, which completely effective for the reflection of normal beams.

, lit is vobvious that various changes may be 'roede in details of construction Without de- 2 tion is not to be limited to the specific details shown and described.

Having thus described the invention, what is claimed is:

l. A redecting device of the character de scribed comprising, opposing reectors arran ed relatively at right angles and collective y along the device, one of said reectors having pairs of redecting surfaces arranged in a continuous linearly merging series therealong and cooperating with a continuous series of redecting surfaces on the opposite redoctor, the surfaces of a pair being relatively at right angles, in order to form a series of contiguous units, each of which has a series of redecting surfaces arranged relatively at right angles and in a circuit around the axis thereof so that the light impinging thereon from a distant source will be successively reccted'by the surfaces of the unit about its axis and as a definite beam in the general direction of the light source.

2. reflecting device of the character described comprising, reieotors arranged in parallel rows, -with the reectors in a row opposing and relatively at right angles, one reector in each rovv having pairs of reecting .surfaces arranged in a continuous linearly merging series therealong and cooperating with a continuous series of redecting surfaces on the opposite redector, the surfaces of a pair being relatively at right angles and the series of conti 'a series of re ecting surfaces arranged rela- "tively at right angles and in a circuit around -the axis thereof so thatthe light impinging reflect-ors in adjacent rows joining and being relatively at right angles, in order to form a ous units, each of which has thereon from a distance source will be successively reflectedv by the surfaces of the unit about its axis and as a deiinite beam in the general direction of the light source.

3. A reflector of the character described comprising, a series of contiguous units, each unit having a series of reflecting surfaces'arranged relatively at right angles and in a cir-4 cuit around the axis thereof so that the light impinging thereon from a distance source ,will be successively reflected by each of said surfaces about the axis of said unit and as a deuite beam in the general direction of the 'light source, corresponding surfaces of adjacent units being similarly oriented and the unit apertures being formed by the intersection of reflecting surfaces of adjacent units.

4. il. reector of the character described comprising, a series of contiguous units arranged in parallel rows, each unit having a series of reecting surfaces arranged relatively at right angles and in a circuit around the axis thereof so that light impinging thereon from a distant source will be successively reected by each of said surfaces about said axis and as a definite beam in the general direction of the light source, surfaces of each unit of a rovv intersecting along lines parallel Ato the intersection of tie same surfaces with" Ysurfaces of the ad; acent units of the row and at right angles to the direction of the row.

5. A reecting device of the character described comprising, reectors arranged in parallel rows, with the reectors in a row opposing and relatively at right angles, one re- Hector in each row having pairs of reflecting surfaces arranged in a continuous iinearly merging series thcrealong and cooperating with a continuous series of redecting surfaces on the opposite reflector and lying in the same plane, the surfaces of a pair being relatively at right angles and the redectors in adjacent rows being relatively at right angles, one of said reflectors having pairs of reflecting surfaces joining another of said reflectors having the surfaces lying in the same plane, in order to form a series of contiguous units, each of which has a series of reflecting surfaces arranged relatively at right angles and' een faces arranged relatively at riglht angles and in a circuit around the axis t ereof so that light impinging thereon from a distant source will be successively reflected by said surfaces about said axis and as a definite beam in the general direction of the light source, corre spending reflecting surfaces of contiguous units lying in the same plane and the opposed co-operating surfaces o said contiguous units merging linearly in a continuous series.

7 A reflecting device of the character described, having a series of reflecting units arranged in contiguous relation, eachof said units comprising a series of reiectlng surfaces arranged relatively at right angles and in a circuit around the axis thereof so that light impinging thereon from a distant source wlll be successively reflected by said surfaces about said axis and as a definite beam in the general direction of the light source, the corresponding reiiecting surfaces of adjacent units lying in a common plane and the opposed co-operating surfaces of said adjacent units lying in relatively right angular relation and merging linearly in a continuous series. l A

8. A reiecting device of the character described, having a series of` reflecting units arranged in contiguous relation, each of said units comprising a series of reflectlng surfaces arranged relatively at riglht angles and in a circuit around the axis t ereof so that light impinging thereon from a distant source will be successively reflected by said surfaces about said axis and as a denite beam in the general direction of the light source, the ex'- 'terior and interior solid angles formed by 'the reflecting surfaces of the several units .being con uent. I

9. A re ecting device of the character described, having a series of reflecting units arranged in contiguous relation to form a solid transparent prismatic plate, each of said units comprising a series of square reflecting surfaces arranged relatively at right angles and in a circuit around the axis thereof so that light impinging thereon from a distant source will be successively reflected by said surfaces about said axis and as a definite beam in the general direction of the light source, the apices of the interior angles formed by the reiecting surfaces of the vseveral units being in close proximity to the front face of the plate.

10. A reflecting device of the character described having a series of reflecting units, each of said units comprising a series of square re' ficcting surfaces arranged relatively at right angles and in a circuit around the axis thereof so that light impinging thereon from a distant source will be successively reiected by said surfaces about said axis and as a definite beam in the general direction of the light source, said units being arranged in contiguous relation with all boundaries of the unit apertures formed bv reiecting surfaces.

11. A reflecting device of the character described, having a series of reecting units, each of said units comprising a 'series of square reflecting surfaces arranged relatively at Iright an les and in a circuit around the axis thereok so that light impinging thereon from a distant-source will be successively reflected by said surfaces about said axis and y as a definite beam in the general vdirection of the light source, said units being arranged in contiguous relation with the complete boundary of the aperture of a unit formed by the intersection of its reiiecting surfaces with reflecting surfaces of the surrounding units. 12. A refiecting device of the character described, having a series of reflecting umts, each of said units comprising a series of square reflecting surfaces arranged relatively at right angles and in a circuit around the axis thereof so that light impinging thereon from a distant source will be successively reiected by said surfaces about said axis and as a definite beam in the general direction of from a distant source will be successively re` iected by said surfaces about said axis and as a definite beam in the general direction of the light source, said units being arranged in contiguous relation with the square surfaces of the several units intersecting so as to form merging hexagonal apertures.-

14. In a highwa danger signal the combination of two re ectors placed at ri ht an-V gles to each other and with their re ecting surfaces facing one another, one of the reflectors having a' plane surface, the other being grooved, the grooves running at right angles to the plane reflector, and each groove being composed of two plane surfaces placed at right angles to one another.

15. A reflector, comprising a series of centralv triple reiectors having their reflecting surfaces arranged in adjacent pairs at right angles to each other with a single reflecting plane surface perpendicular to said first surfaces.

16. A reflector, comprising, a series of central triple reiiecting units having a. plane surface which forms one of the reflecting surfaces of each unit of the series.

1 7. A reiector, comprisin a series of central triple reiiecting units a merging reiecting areas, a single plane sur ace forming the corresponding reiiecting face of each u nlt o'f the series.

18. A reflecting device of the character described having-a series of reflecting units circuit around the axis thereof so that light alsy impinging thereon from a distant source will be successlvely reected by said surfaces about said axis and as a definite beam in the general direction of the light source, the corres nding reflecting surfaces of adjacent units ing formed by a plane surface.

19. A reiecting device of the character described having a series of reflecting units arranged in contiguous relation, each of said units comprising a series of lreflecting surfaces arranged relatively at ri ht angles and in a circuit around the axis t ereof so that light impinging thereon from a distant source will be successively reflected by said surfaces about said axis and as a definite beam in the general direction of the light source, the corresponding retlecting surfaces of adjacent units being formed by a plane surface, and the opposed co-operating surfaces of said units merging in a linearly continuous series.

In testimony whereof I aix my signature this 19th day of February, 1926. l

' JONATHAN C. STIMSON. 

